As an AI researcher: don't forget that we're at the peak of the hype-trend: a lot of what LLMs can do looks extremely impressive, but most of it falls apart on more detailed inspection. Unless you ask about mundane things, they will tend to get a lot of tiny (and not so tiny) details wrong. At the very best, these systems will allow us to automate some boiler plate things, but they're not good enough to do complicated stuff without lots of supervision. And what's even more important: I think a lot of people look at the current impressive steps and think "oh wow, if it continues at this pace we'll have the Singularity by autumn". But the thing is: we're not able to keep this pace of progress. What you're seeing now is as good as it gets (in terms of big breakthroughs, there will still be lots of small and medium ones). The next few months (and years?) will see a ton of incremental improvements and many, many, many people trying to apply these new technologies. But I personally (as a decently successful AI researcher who's been part of these developments for over 10 years) don't see a way forward to keep making many of the big strides we've been making. As an analogy: we're having a Bitcoin moment: imagine the first blockchain was just released for the first time: now, there'll be lots of people trying to understand the tech, come up with their own variants, make some (fundamental?) improvements. But the actual fundamental tech/idea is out now, and it's not really going to change much.
TL;DR: I think your job is safe.